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Entropy
Volume 22
Issue 11
10.3390/e22111211
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Article

Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming

by
Mingyi Xing
1,2,
Qiushuang Zhang
1,*,
Xin Jin
3 and
Zhijing Zhang
3
1
College of Electromechanical Engineering, Qingdao University of Science and Technology, Qingdao 266061, China
2
School of Instrumentation and Optoelectronic Engineering, Beihang University, Beijing 100083, China
3
School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(11), 1211; https://doi.org/10.3390/e22111211
Submission received: 2 September 2020 / Revised: 18 October 2020 / Accepted: 24 October 2020 / Published: 26 October 2020
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Abstract

Selective assembly is the method of obtaining high precision assemblies from relatively low precision components. For precision instruments, the geometric error on mating surface is an important factor affecting assembly accuracy. Different from the traditional selective assembly method, this paper proposes an optimization method of selective assembly for shafts and holes based on relative entropy and dynamic programming. In this method, relative entropy is applied to evaluate the clearance uniformity between shafts and holes, and dynamic programming is used to optimize selective assembly of batches of shafts and holes. In this paper, the case studied has 8 shafts and 20 holes, which need to be assembled into 8 products. The results show that optimal combinations are selected, which provide new insights into selective assembly optimization and lay the foundation for selective assembly of multi-batch precision parts.
Keywords: selective assembly; optimization; precision instrument; relative entropy; dynamic programming selective assembly; optimization; precision instrument; relative entropy; dynamic programming

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MDPI and ACS Style

Xing, M.; Zhang, Q.; Jin, X.; Zhang, Z. Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming. Entropy 2020, 22, 1211. https://doi.org/10.3390/e22111211

AMA Style

Xing M, Zhang Q, Jin X, Zhang Z. Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming. Entropy. 2020; 22(11):1211. https://doi.org/10.3390/e22111211

Chicago/Turabian Style

Xing, Mingyi, Qiushuang Zhang, Xin Jin, and Zhijing Zhang. 2020. "Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming" Entropy 22, no. 11: 1211. https://doi.org/10.3390/e22111211

APA Style

Xing, M., Zhang, Q., Jin, X., & Zhang, Z. (2020). Optimization of Selective Assembly for Shafts and Holes Based on Relative Entropy and Dynamic Programming. Entropy, 22(11), 1211. https://doi.org/10.3390/e22111211

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